Abstract
We investigate an accurate control of quantum transition dynamics in a nonlinear two-level system with interparticle interaction. We design an external field pulse train to manipulate a quantum system from an initial state to a desired final state via adjusting the durations of each field pulse. We obtain the analytic expressions for the durations of each field pulse, which depend on the interparticle interactions, the coupling strength, the amplitude of the external field, and the desired transition probability value of the final state. We show the transition probability can be controlled accurately to any desired value, including the arbitrary superposition state and complete population transfer. With the aid of phase space approach and energy conservation law, an theoretical interpretation of such control technique is given. We also discuss the superiority of the control technique by calculating the infidelity of control process.
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